Semi-implicit direct forcing immersed boundary method for incompressible viscous thermal flow problems: A Schur complement approach

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

An extended immersed boundary method utilizing a semi-implicit direct forcing approach for the simulation of confined incompressible viscous thermal flow problems is presented. The method utilizes a Schur complement approach to enforce the kinematic constraints of no-slip and the corresponding thermal boundary conditions for immersed surfaces. The developed methodology can be straightforwardly adapted to any existing incompressible time marching solver based on a segregated pressure-velocity coupling. The method accurately meets the thermal and the no-slip boundary conditions on the surfaces of immersed bodies for the entire range of Rayleigh numbers 103⩽Ra⩽106. Strategies for further increasing the computational efficiency of the developed approach are discussed. The method has been extensively verified by applying it for the simulation of a number of representative fully 3D confined natural convection steady and periodic flows. Complex dynamic phenomena typical of this kind of flow including vortical structures and convection cells and instability characteristics, were simulated and visualized and the results were found to compare favorably with results known from literature.

Original languageEnglish
Pages (from-to)1267-1283
Number of pages17
JournalInternational Journal of Heat and Mass Transfer
Volume127
DOIs
StatePublished - 1 Dec 2018

Keywords

  • Distributed Lagrange multiplier
  • Immersed boundary method
  • Schur complement
  • Segregated pressure-velocity coupling

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Fingerprint

Dive into the research topics of 'Semi-implicit direct forcing immersed boundary method for incompressible viscous thermal flow problems: A Schur complement approach'. Together they form a unique fingerprint.

Cite this